Affinely rigid Finsler manifolds

2017/02/16 by Kertesz, David Csaba
#53B40 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1702.05151

Abstract

A Finsler function F is affinely rigid if its canonical spray is uniquely metrizable, in the sense that if F is another Finsler function whose canonical spray is S, then d(F/ F)=0. In this short note we explore some sufficient conditions for a Finsler function to be affinely rigid, and discuss open problems.

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